\newproblem{lay:2_3_16}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 2.3.16}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Carlos Oscar Sorzano, Aug. 31st, 2013} \\}{}

  % Problem statement
  If an $n\times n$ matrix $A$ is invertible, then the columns of $A^T$ are linearly independent. Explain why.
}{
  % Solution
	By the Invertible Matrix Theorem, if $A$ is invertible, so is $A^T$. if $A^T$ is invertible, then by the same theorem,
	the columns of $A^T$ are linearly independent.
}
\useproblem{lay:2_3_16}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
